caa a22 4500 386385106 CHVBK 20180307112056.0 cr unu---uuuuu 161130e198909 xx s 000 0 eng 10.1017/S0305004100078178 doi S0305004100078178 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100078178 Pakes Anthony G. Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia The Markov branching process with density-independent catastrophes. II. The subcritical and critical cases [Elektronische Daten] [Anthony G. Pakes] This paper continues the study initiated in [10] of the Markov branching process (MBP) subject to an independent Poisson process of catastrophe times at which the population size is reduced by random decrements whose distribution is independent of the current population size. More generally, let (Xt:t ≥ 0) be the Feller process on the non-negative integers ℕ+ having the generator Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/2(1989-09), 369-383 0305-0041 106:2<369 1989 106 PSP https://doi.org/10.1017/S0305004100078178 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100078178 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pakes Anthony G. Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/2(1989-09), 369-383 0305-0041 106:2<369 1989 106 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence SWISSBIB 386220182 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge